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Finding the Fourth Proportional to 282,773.92, 390,235.52 and 153,721.12

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Solution

The fourth proportional to 282,773.92, 390,235.52 and 153,721.12 is: 212,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,773.92 : 390,235.52 = 153,721.12 : x
  2. Step 2: Convert to fraction form
    282,773.92/390,235.52 = 153,721.12/x
  3. Step 3: Cross multiply
    282,773.92x = 390,235.52 × 153,721.12
  4. Step 4: Simplify right side
    282,773.92x = 59,987,441,198.18
  5. Step 5: Solve for x
    x = 59,987,441,198.18/282,773.92
  6. Step 6: Final answer
    x = 212,139.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.